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A group of Mathematics faculty at the local college consists of 9 women and 9 men. Three people are to be selected to go to a conference.

How many different ways can a group of three people be selected from this group of 18?
 

In how many ways can three women be chosen from the group of 9 women?
 

What is the probability that all women will be chosen to attend the conference?
Enter a reduced fraction or decimal.
 

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